Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)

{x| x is a natural number less than 7} ={1. 2. 3. 4. 5, 6}. The statement is true.

What is a natural number?

Natural numbers are all positive numbers that range from 1 to infinity and are consequently a part of the number system. Natural numbers are frequently referred to be counting numbers because they don't contain zero or negative numbers. They are a subset of real numbers that only contains positive integers and excludes all other types of numbers, such as negative, zero, fractional, and decimal.

It is in set builder form of set represenation.

A set consists of elements represented inside flower brackets { }.

Read as x such that x belongs to natural numbers less than 7.

Natural numbers starts from 1,2,3 .... to infinity.

Natural numbers less than 7 means

1,2,3,4,5,6

Represented in set as

{1,2,3,4,5,6}

Hence the statement is true.

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Answer:

\(\huge\boxed{\sf Slope = \frac{1}{11} }\)

Step-by-step explanation:

Given coordinates are (6,-3) and (-5,-4).

\(\sf Slope = \frac{y2-y1}{x2-x1}\\\\Slope = \frac{-4+3}{-5-6} \\\\Slope = \frac{-1}{-11} \\\\Slope = \frac{1}{11} \\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

1 and 2/9

Step-by-step explanation:

absolute value of negative becomes positive (distance from zero is positive).

So 4/9 + 5/6

you need a common denominator let's use 18:

4/9 = 8/18    and 5/6 = 15/18

Now we can add: 8/18 + 15/18 = 22/18

Almost done... divide numerator and denominator by 2 to simplify = 11/9

Now mixed number= 1  2/9

Answer:

32

Step-by-step explanation:

Because in one cup there are 4 fourths, so 8*4=32

Answer:

Step-by-step explanation:

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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Answer:

Let's assume the number be 100.

According to the problem , 100 is increased by 100%.

So, new number will be 100+100=200

Now 200 will decreased by 20%.

So, 20% of 200= 0.20*200= 40.

So, again the number has been changed into 200+40=240.

So, x=240

Step-by-step explanation:

9514 1404 393

Answer:

  x/1.6

Step-by-step explanation:

Let n represent the number. When n is increased by 100%, its new value is ...

  n(1 +100%) = n(1 +1) = 2n

When this value is decreased by 20%, its new value is ...

  (2n)(1 -20%) = (2n)(0.8) = 1.6n

This value is x, so the number is ...

  1.6n = x

  n = x/1.6 . . . . . . . divide both sides by 1.6

Answer:

Step-by-step explanation:

Let \(\alpha, \alpha^2\) be the roots.

\(\therefore \alpha + \alpha^2 = -\frac{b}{a} =\)

\(\therefore \alpha^3 = \frac{c}{a}\)

\(\rightarrow \alpha = (\frac{x}{y}) ^{\frac{1}{3}}\)

\(\alpha + \alpha^2 = -\frac{b}{a}\)

\(\rightarrow (\frac{c}{a})^{\frac{1}{3}} + (\frac{c}{a})^{\frac{2}{3}} = (-\frac{b}{a})\)

\(\rightarrow ((\frac{c}{a})^{\frac{1}{3}} + \frac{c}{a})^{\frac{2}{3}})^3 = -\frac{b^3}{a^3}\)

\(\rightarrow (\frac{c}{a})^{\frac{3}{3}} + (\frac{c}{a})^{\frac{2}{3} * 3} + 3 * (\frac{c}{a})^{\frac{1}{3} + \frac{2}{3}} ((\frac{c}{a})^{\frac{1}{3}} + (\frac{c}{a})^{\frac{2}{3}}) = \frac{-b^3}{a^3}\)

\(\rightarrow \frac{c}{a} + (\frac{c}{a})^2 + 3(\frac{c}{a})(-\frac{b}{a}) = \frac{-b^3}{a^3}\)

\(\rightarrow \frac{c}{a} + \frac{c^2}{a^2} - \frac{3bc}{a^2} + \frac{b^3}{a^3} = 0\)

\(\rightarrow ca^2 + ac^2 - 3abc + b^3 = 0 \Rightarrow b^3 + ac^2 + a^2c = 3abc\)

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Answer:

=12a-3a+7x-2x

=9a+5x

This is the answer.

Hope it helps you..

Answer

=12a+7x-3a-2x

=9a+7x-2x

=9a+5x

Explanation

This is the ans. hope you like it....

The purpose of the SUBSET-SUM issue is to determine whether a subset from a list of integers may add up to a certain value.

A dynamic programming approach that takes repeating, positive, and negative numbers into account. The purpose of the SUBSET-SUM problem is to determine whether a subset of a list of integers may add up to a certain value. As an example, consider the list of numbers [1, 2, 3, 4]. If the target is set to that number, there are two subsets, 3, and 1, 2, 4, that both add up to 7. If the target is equal to 11, there are no solutions.

If there are t integers in the sums list, then there are usually (t -1) subsets that need to be checked to see if there are even any solutions to SUBSET-SUM. This post will look at a technique for using dynamic programming to solve issues more successfully. though, in contrast

Let is SUBSET-SUM (arr, t, sum/2) be the function that returns true if there is a subset of arr [0..t-1] with sum equal to sum/2

The is SUBSET-SUM problem can be divided into two subproblems

is SUBSET-SUM() without considering last element (reducing t to t-1)

is SUBSET-SUM considering the last element (reducing sum/2 by arr[t-1] and t to t-1)

If any of the above subproblems return true, then return true.

is SUBSET-SUM (arr, t, sum/2) = is SUBSET-SUM (arr, t-1, sum/2) || is SUBSET-SUM (arr, t-1, sum/2 – arr[t-1])

Therefore,

The purpose of the SUBSET-SUM issue is to determine whether a subset from a list of integers may add up to a certain value.

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Answer:

in day 15

Step-by-step explanation:

3, 6, 9, 12, (15)

5, 10, (15)

After solving by the LCM method, both teams have games on the same day, which will be the 15th day.

The Least Common Multiple is the meaning of the acronym LCM. The smallest number that both numbers can divide by is known as the least frequent multiple (LCM) for two numbers. It can also be computed for several different numbers.

As per the given information in the question,

Number of days after which both the teams will have the game on the same day again

Take the LCM of both numbers,

= LCM (3, 5)

= 15 days.

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Answer:

like about $500 and because of the ca!erlsn

The standard deviation σx =\(\sqrt{(Variance)} = \sqrt{(1.5875)} = 1.259.\)

It tells us how much the individual values in a dataset deviate from the average value. In other words, it indicates the extent to which the data points are spread out or clustered around the mean.

The formula for standard deviation is the square root of the variance, which is calculated by finding the average of the squared differences between each data point and the mean. The standard deviation is expressed in the same units as the original data and is denoted by the symbol "σ" for the population standard deviation or "s" for the sample standard deviation.

(a) P3 = 0.05

(b) P(2 or fewer) = P0 + P1 + P2 = 0.34 + 0.39 + 0.19 = 0.92

(c) The probability that the standard is exceeded on at least two days is P(X ≥ 2) = P2 + P3 + P4 = 0.19 + 0.05 + 0.03 = 0.27

(d) The probability that the standard is exceeded on more than two days is P(X > 2) = P3 + P4 = 0.05 + 0.03 = 0.08

(e) μx = ΣxPx = 00.34 + 10.39 + 20.19 + 30.05 + 40.03 = 0.95

(f) To compute the standard deviation σx, first we need to find the variance.

Variance = Σ(x-μx)²Px = (0-0.95)²0.34 + (1-0.95)²0.39 + (2-0.95)²0.19 + (3-0.95)²0.05 + (4-0.95)²0.03 = 1.5875

Therefore, σx = sqrt(Variance) = sqrt(1.5875) = 1.259.

Rounding to three decimal places, we get σx = 1.259.

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The complete question is:

Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by x 0 1 2 3 4

Px 0.34 0.39 0.19 0.05 0.03

(a) Find P3. P3 =

(b) Find P(2 or fewer). P(2 or fewer) =

(c) Find the probability that the standard is exceeded on at least two days. The probability that the standard is exceeded on at least two days is

d) Find the probability that the standard is exceeded on more than two days. The probability that the standard is exceeded on more than two days is

(e) Compute the mean μx. Round the answer to two decimal places. μx = Part 6 of 6 (f) Compute the standard deviation σx. Round the answer to three decimal places. σx =

When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).

Answer:

16.5 minutes

Step-by-step explanation:

2508/152 = 16.5

Check: 152 x 16.5 = 2508

Answer:

b

Step-by-step explanation:

edge

Answer:

B: m = -3.5, b = 22

Step-by-step explanation:

i got it correct on edge :)

Answer:

the ball will be in the air for possibly 2.5 seconds and it max hieght was 10 ft

Step-by-step explanation:

no clue

Answer:additon

Step-by-step explanation:

Answer:

adition

Step-by-step explanation:

Answer:

no of science teachers is 20

no of students is 600

ratio=20/600

=20:600

=1:30

pls give me brainliest

Answer:

\(A= \frac{4}{3 + \sqrt{5} } - \frac{8}{1 + \sqrt{5} } + \frac{15}{ \sqrt{5} } \)

\( = \frac{4(3 - \sqrt{5)} }{4} - \frac{8(1 - \sqrt{5} }{ - 4} + \frac{15 \sqrt{5} }{5} = 3 - \sqrt{5 + 2 - 2 \sqrt{5 + 3 \sqrt{5 = 5} } } \)

Step-by-step explanation:

\(Cảm \: ơn!!!!\)

Answer:

The correct answer is B

Answer:

AC = 28

Step-by-step explanation:

Ok, we know that:

Points A, B, and C are collinear.

Point B is between A and C.

We want to find the length AC (distance between A and C), if we know that:

AB = 16

BC = 12

Ok, knowing that B is between the other points, we know that:

AB + BC

defines the total length of the segment that connects the 3 points.

Thus, if we define this segment as a length, we only use the endpoints, A and C.

Then we have that:

AB + BC = AC

now we can solve this:

16 + 12 = AC

28 = AC

Step-by-step explanation:

2.

the volume of the box is

length × width × height = 13×13×13 = 13³ = 2197 cm³

the ratio of the density indignation tells us that every cm³ of soil weighs 1.33 g (or every unit of 1.33g soil fits into 1 cm³).

we have 2197 cm³.

their weight is

2197 × 1.33 = 2,922.01 g

so, the filled box clearly exceeds the max. weight of the window ledge, and it is NOT safe to put it there.

b

yes, it would be a little bit less dense.

because every bit of weight you put on top of something increases the pressure on and therefore the density of that something.

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r

lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r = ln[lambda] = ln[Nt+1/N t] = instantaneous rate of increase; lambda = er , where e = 2.71828 (= natural log or log to the base e).

λ is a constant whose value is determined by the per capita birth rate minus the per capita death rate over discrete time periods.

Lambda is called the finite population growth rate that gives the proportional change in. population size from one time period to the next: λ = Nt+1.

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The area of the rectangle is 4 (7-2) unit².

A rectangle is a quadrilateral with four equal vertices and parallel sides of equal length.

Given, the sides of the rectangle are 4 and 7.

And in the diagram,

The rectangle overshadowed by the rectangle having the sides 4 and 2.

So, the sides of the shaded rectangle are 4 and (7-2).

So, the area of the rectangle

= length x width

= 4 x (7-2)

= 4 (7-2)

Therefore, the area is 4 (7-2) unit².

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Answer:

The expression E (3B + A) is defined. The size of the resulting matrix is (1 x 1).

Step-by-step explanation:

Let's consider the following operations between matrices.

E (3B + A)

B is a matrix of (4 x 1), that is, it has 4 rows and 1 column. Let F = 3B. This is the product of a scalar by a matrix, which results in a matrix of the same size as the original. Then, F is a matrix of (4 x 1).

Now, let's consider the sum F + A, which we well call G. We can sum F and A because they are of the same size and we will get G, a matrix of the same size, (4 x 1).

Finally, we have the product E . G. We can multiply 2 matrices of sizes (m x k) and (k x n), that is, the number of columns of the first matrix must be equal to the number of rows of the second matrix, and the resulting matrix has a size (m x n). This is the case because E is (1 x 4) and G is (4 x 1), and the resulting matrix will be (1 x 1).